An Introduction to Multiscale Modeling. Scientific Computing and Numerical Analysis Seminar CAAM 699. Outline. Multiscale Nature of Matter Physical Scales Temporal Scales Different Laws for Different Scales Computational Difficulties Homogeneous Elastic String
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and Numerical Analysis Seminar
0.278 nm = 2.78 x 10-10 m
Good Luck trying to do this computationally!!!
Put another way in the form of a constitutive law (relation between stress and strain)
Dividing by h and taking the limit h 0
Equating these two quantities gives:
Elastic properties of the spring vary spatially